Computation in Sofic Quantum Dynamical Systems

We analyze how measured quantum dynamical systems store and process information, introducing sofic quantum dynamical systems. Using recently introduced information-theoretic measures for quantum processes, we quantify their information storage and processing in terms of entropy rate and excess entropy, giving closed-form expressions where possible. To illustrate the impact of measurement on information storage in quantum processes, we analyze two spin-1 sofic quantum systems that differ only in how they are measured.

• Type: Journal
• Year: 2010
• Where: NC
• Authors: Karoline Wiesner, James P. Crutchfield
• Keywords: NC 2010, Neural Networks, Quantum Dynamical Systems, Sofic Quantum, Sofic Quantum Systems